You work for an innovative design firm named Family Design Enterprises. Your company firmly believes in the use of Triangles from the 30-60-90 family when designing anything containing a right triangle. In fact, your firm is unwilling to produce a container unless at least one of its sides is a right triangle made from this triangle family.


This means you need to become an expert in 30-60-90 families. I would recommend reviewing the sites below to become knowledgeable about the these family relationships as well as using your textbook and class notes.

30-60-90 Constructions

45-45-90 and 30-60-90 Triangles

Special Angle and Side Ratios

Right Triangle Notes


It may also be helpful to visit the following sites dealing with the Pythagorean Theorem in order to re-acquaint yourself with general right triangle relationships.


Pythagorean Theorem

Pythagorean Theorem Derivation

Understanding the Pythagorean Theorem

The Proof - Pythagorean Puzzle


Now it's time to get creative! Use what you have learned to design and build your container. You may brainstorm with your team, but remember the goal is to design your own package containing at least one triangle that is in the 30-60-90 family. The end result will later be compared to your teammates.

Refer back to the Task page to review the specifications. Then click on the folder below to view and then print a checklist that will help you keep your individual part of the project on track.1


Once you have built your package, return to Process page to continue with the project.

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